Question

The width of a rectangle measures (4.4d-4.3)(4.4d−4.3) centimeters, and its length measures (7.6d+4.7)(7.6d+4.7) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answer 1

Perimeter, P = (24d+0.8) cm

Explanation:

Given that,

Width of rectangle, B = (4.4d−4.3) cm

Length, l = (7.6d+4.7)

Perimeter is equal to the sum of all sides. A rectangle have 4 sides. The opposite sides of a rectangle are equal. So,

Perimeter = 2(L+B)

P = 2[(7.6d+4.7)+(4.4d−4.3)]

Collecting like terms

P = 2[(7.6d+4.4d)+(4.7−4.3)]

P=2(12d+0.4)

⇒ P = 24d+0.8

So, the expression for the perimeter of the rectangle is (24d+0.8) cm.